Tomonaga-Luttinger model with an impurity for a weak two-body interaction

Details Tomonaga-Luttinger model with an impurity for a weak two-body interaction Tomonaga-Luttinger model with an impurity for a weak two-body interaction

2002-11-26

arxiv.org/abs/cond-mat/0211598v4

Phys. Rev. B 67, 205107 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 1 figure

Scientific paper

10.1103/PhysRevB.67.205107

The Tomonaga-Luttinger model with impurity is studied by means of flow equations for Hamiltonians. The system is formulated within collective density fluctuations but no use of the bosonization formula is made. The truncation scheme includes operators consisting of up to four fermion operators and is valid for small electron-electron interactions. In this regime, the exact expression for the anomalous dimension is recovered. Furthermore, we verify the phase diagram of Kane and Fisher also for intermediate impurity strength. The approach can be extended to more general one-body potentials.

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